What is the Least Common Multiple of 65237 and 65253?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 65237 and 65253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65237 and 65253, than apply into the LCM equation.

GCF(65237,65253) = 1
LCM(65237,65253) = ( 65237 × 65253) / 1
LCM(65237,65253) = 4256909961 / 1
LCM(65237,65253) = 4256909961

Least Common Multiple (LCM) of 65237 and 65253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65237 and 65253. First we will calculate the prime factors of 65237 and 65253.

Prime Factorization of 65237

Prime Factorization of 65253

Now multiplying the highest exponent prime factors to calculate the LCM of 65237 and 65253.

LCM(65237,65253) = 89¹ × 733¹ × 3¹ × 21751¹
LCM(65237,65253) = 4256909961